LCM of 799, 242, 668, 660, 731
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 799, 242, 668, 660, 731 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 799, 242, 668, 660, 731. So, keep reading to learn more.
Given numbers are 799,242,668,660,731
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 799,242,668,660,731 is 41655113940.
Find LCM of 799,242,668,660,731 with Prime Factorization
| 2 | 799, 242, 668, 660, 731 |
| 2 | 799, 121, 334, 330, 731 |
| 11 | 799, 121, 167, 165, 731 |
| 17 | 799, 11, 167, 15, 731 |
| 47, 11, 167, 15, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 17 x 47 x 11 x 167 x 15 x 43 = 41655113940
Therefore, the lowest common multiple of 799,242,668,660,731 is 41655113940.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
799 x 242 x 668 x 660 x 731 = 62316050454240
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
799 : 1, 17, 47, 799
242 : 1, 2, 11, 22, 121, 242
668 : 1, 2, 4, 167, 334, 668
660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
731 : 1, 17, 43, 731
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 799,242,668,660,731, is 1.
Now, the common factors can be found like this.
799:17x 47
242:2x 11x 11
668:2x 2x 167
660:2x 2x 3x 5x 11
731:17x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 11x 17 = 1496
Therefore, the value for common factors is 1496.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 62316050454240/(1x1496)
LCM = 62316050454240/1496
LCM = 41655113940
Thus, we can understand that the LCM of 799,242,668,660,731 is 41655113940.
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FAQs on LCM of 799, 242, 668, 660, 731
1. What is the LCM of 799, 242, 668, 660, 731?
Answer: LCM of 799, 242, 668, 660, 731 is 41655113940.
2. How to calculate the LCM of 799, 242, 668, 660, 731?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 799, 242, 668, 660, 731.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.